240304250967040 has 352 divisors, whose sum is σ = 653607609621120. Its totient is φ = 84039370407936.

The previous prime is 240304250967031. The next prime is 240304250967043. The reversal of 240304250967040 is 40769052403042.

It is a super-2 number, since 2×240304250967040² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240304250967043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6572315799 + ... + 6572352361.

It is an arithmetic number, because the mean of its divisors is an integer number (1856839800060).

Almost surely, 2^{240304250967040} is an apocalyptic number.

240304250967040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240304250967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326803804810560).

240304250967040 is an abundant number, since it is smaller than the sum of its proper divisors (413303358654080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

240304250967040 is a wasteful number, since it uses less digits than its factorization.

240304250967040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41817 (or 41799 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 46.

The spelling of 240304250967040 in words is "two hundred forty trillion, three hundred four billion, two hundred fifty million, nine hundred sixty-seven thousand, forty".